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Simplifying -3 = k + -4 + -6 Reorder the terms: -3 = -4 + -6 + k Combine like terms: -4 + -6 = -10 -3 = -10 + k Solving -3 = -10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + -1k = -10 + k + -1k Combine like terms: k + -1k = 0 -3 + -1k = -10 + 0 -3 + -1k = -10 Add '3' to each side of the equation. -3 + 3 + -1k = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = -10 + 3 -1k = -10 + 3 Combine like terms: -10 + 3 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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